John Lennon was never very fond of the Paul's song "One and One is Two". In an interview with Playboy magazine in December 1980, he said of the song, "That's another of Paul's bad attempts at writing a song" (Scheff, page 184). Given the distaste, it is no surprise that it was given instead to Mike Shannon and The Strangers, who released their version of the song on 8 May 1964.

Although the Beatles never recorded the song, McCartney recorded a demo in early 1964.